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Finding the Third Proportional to 267,155.72 and 413,137.97

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Solution

The third proportional to 267,155.72 and 413,137.97 is: 638,889.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,155.72 : 413,137.97 = 413,137.97 : x
  2. Step 2: Convert to fraction form
    267,155.72/413,137.97 = 413,137.97/x
  3. Step 3: Cross multiply
    267,155.72x = 413,137.97 × 413,137.97
  4. Step 4: Simplify right side
    267,155.72x = 170,682,981,222.88
  5. Step 5: Solve for x
    x = 170,682,981,222.88/267,155.72
  6. Step 6: Final answer
    x = 638,889.49

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.